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Finding the Fourth Proportional to 189,021.82, 260,850.36 and 102,980.38

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Solution

The fourth proportional to 189,021.82, 260,850.36 and 102,980.38 is: 142,113.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,021.82 : 260,850.36 = 102,980.38 : x
  2. Step 2: Convert to fraction form
    189,021.82/260,850.36 = 102,980.38/x
  3. Step 3: Cross multiply
    189,021.82x = 260,850.36 × 102,980.38
  4. Step 4: Simplify right side
    189,021.82x = 26,862,469,195.94
  5. Step 5: Solve for x
    x = 26,862,469,195.94/189,021.82
  6. Step 6: Final answer
    x = 142,113.06

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.